Pith Number

pith:MZSLWTGC

pith:2010:MZSLWTGCUGRJWFQK4KIA5ZZ2IT

not attested not anchored not stored refs pending

A compactness result for Landau state in thin-film micromagnetics

Felix Otto, Radu Ignat

arxiv:1009.1649 v1 · 2010-09-08 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZSLWTGCUGRJWFQK4KIA5ZZ2IT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:05:32.964946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6664bb4cc2a1a29b160ae2900ee73a44f21ecc5ca55f55989600db5a08b7b270

Aliases

arxiv: 1009.1649 · arxiv_version: 1009.1649v1 · doi: 10.48550/arxiv.1009.1649 · pith_short_12: MZSLWTGCUGRJ · pith_short_16: MZSLWTGCUGRJWFQK · pith_short_8: MZSLWTGC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MZSLWTGCUGRJWFQK4KIA5ZZ2IT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6664bb4cc2a1a29b160ae2900ee73a44f21ecc5ca55f55989600db5a08b7b270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "760b70cbd5cd1b5b30fef4837caba20133e17bd49529498f22427285ec4fbba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-08T20:39:59Z",
    "title_canon_sha256": "6b7a7a65304f85423b637354836778ac7a995c5427716665cc3c910bd0580432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1649",
    "kind": "arxiv",
    "version": 1
  }
}